Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870d |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
1315982720 = 27 · 5 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-463389,-121451848] |
[a1,a2,a3,a4,a6] |
Generators |
[-2330984970:1163188891:5929741] |
Generators of the group modulo torsion |
j |
65113766972032185121/7786880 |
j-invariant |
L |
2.0891427725507 |
L(r)(E,1)/r! |
Ω |
0.18298405052959 |
Real period |
R |
11.41707578612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bk2 |
Quadratic twists by: 13 |